Question

What is the total resistance across A and B in the circuit shown in Fig.?

• A. $1\Omega$
• B. $2\Omega$
• C. $1.5\Omega$
• D. none of these

Answer 1

The correct option is B $2\Omega$

As the above circuit is a balanced wheat stone bridge, thus no current flows through $10\Omega$ resistor.

Equivalent circuit is shown above.

Total resistance across A and B $R_{AB}=(2+2)\parallel (2+2)=4\parallel 4$

$⟹$ $R_{AB}=\frac{4\times 4}{4+4}=2\Omega$